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Finding the Fourth Proportional to 2,864.57, 3,951.99 and 2,120.31

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Solution

The fourth proportional to 2,864.57, 3,951.99 and 2,120.31 is: 2,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.57 : 3,951.99 = 2,120.31 : x
  2. Step 2: Convert to fraction form
    2,864.57/3,951.99 = 2,120.31/x
  3. Step 3: Cross multiply
    2,864.57x = 3,951.99 × 2,120.31
  4. Step 4: Simplify right side
    2,864.57x = 8,379,443.92
  5. Step 5: Solve for x
    x = 8,379,443.92/2,864.57
  6. Step 6: Final answer
    x = 2,925.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.